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Finding the Third Proportional to 166,289 and 253,584

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Solution

The third proportional to 166,289 and 253,584 is: 386,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,289 : 253,584 = 253,584 : x
  2. Step 2: Convert to fraction form
    166,289/253,584 = 253,584/x
  3. Step 3: Cross multiply
    166,289x = 253,584 × 253,584
  4. Step 4: Simplify right side
    166,289x = 64,304,845,056
  5. Step 5: Solve for x
    x = 64,304,845,056/166,289
  6. Step 6: Final answer
    x = 386,705.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.